Basins of attraction for

using Newton's method in the complex plane

which should
land on a solution to z^5 = 1, for a 125-by-125 array of complex
starting values between -1.5 - 1.5 i and
1.5 + 1.5 i;
we color each point on the array according to the solution that Newton's
method ends with, or rather the phase of the
ending point, which amounts to the same thing):